Abstract
Many authors have introduced and investigated certain extended fractional derivative operators. The main
object of this paper is to give an extension of the Riemann-Liouville fractional derivative operator with
the extended Beta function given by Srivastava et al. [22] and investigate its various (potentially) useful
and (presumably) new properties and formulas, for example, integral representations, Mellin transforms,
generating functions, and the extended fractional derivative formulas for some familiar functions.
| Original language | English |
|---|---|
| Pages (from-to) | 451-466 |
| Number of pages | 16 |
| Journal | Journal of Nonlinear Science and Applications (JNSA) |
| Volume | 8 |
| Issue number | 5 |
| Publication status | Published - 2015 |
Keywords
- Mellin transform
- Integral representations
- Gamma function
- Beta function
- Riemann-Liouville fractional derivative
- Hypergeometric functions
- fox H-function
- Generating functions